Albo Carlos Cavalheiro (2006)
Commentationes Mathematicae Universitatis Carolinae
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In this article we establish the existence of higher order weak derivatives of weak solutions of Dirichlet problem for a class of degenerate elliptic equations.
Thomas Sonar (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider the classical Interpolating Moving Least Squares (IMLS) interpolant as defined by Lancaster and Šalkauskas [Math. Comp. 37 (1981) 141–158] and compute the first and second derivative of this interpolant at the nodes of a given grid with the help of a basic lemma on Shepard interpolants. We compare the difference formulae with those defining optimal finite difference methods and discuss their deviation from optimality.
Turbin, Mikhail V. (2006)
Abstract and Applied Analysis
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Cassio Neri (2004)
Annales de l'I.H.P. Analyse non linéaire
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Schechter, Martin (2005)
Boundary Value Problems [electronic only]
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Changchun, Liu (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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